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5 February, 13:56

An 7 kg airplane is banking through a circle of radius 5.6 m. If the centripetal force on the plane is 20 N, what is the tangential velocity of the plane?

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  1. 5 February, 15:57
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    m = mass of the airplane = 7 kg

    r = radius of circle being traced by airplane = 5.6 meter

    F = centripetal force acting on the airplane = 20 N

    v = tangential velocity of the airplane

    centripetal force acting on the airplane is given as

    F = m v²/r

    20 = 7 v²/5.6

    20 x 5.6 = 7 v²

    7 v² = 112

    v² = 112/7

    v² = 16

    v = sqrt (16)

    v = 4 m/s

    hence the tangential velocity of the plane comes out to be 4 m/s
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